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Finding the Fourth Proportional to 276.95, 382.11 and 172.12

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Solution

The fourth proportional to 276.95, 382.11 and 172.12 is: 237.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.95 : 382.11 = 172.12 : x
  2. Step 2: Convert to fraction form
    276.95/382.11 = 172.12/x
  3. Step 3: Cross multiply
    276.95x = 382.11 × 172.12
  4. Step 4: Simplify right side
    276.95x = 65,768.77
  5. Step 5: Solve for x
    x = 65,768.77/276.95
  6. Step 6: Final answer
    x = 237.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.